2379312000 has 768 divisors, whose sum is σ = 9730506240. Its totient is φ = 552960000.

The previous prime is 2379311971. The next prime is 2379312011. The reversal of 2379312000 is 2139732.

It is a super-2 number, since 2×2379312000² = 11322251186688000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58031980 + ... + 58032020.

It is an arithmetic number, because the mean of its divisors is an integer number (12669930).

Almost surely, 2^2379312000 is an apocalyptic number.

2379312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2379312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865253120).

2379312000 is an abundant number, since it is smaller than the sum of its proper divisors (7351194240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2379312000 is a wasteful number, since it uses less digits than its factorization.

2379312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2379312000 is about 48778.1918484070. The cubic root of 2379312000 is about 1335.0077851669.

The spelling of 2379312000 in words is "two billion, three hundred seventy-nine million, three hundred twelve thousand".